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Phys. Rev. A 65, 062501 (2002) [12 pages]

Analytic evaluation of four-particle integrals with complex parameters

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V. S. Zotev
Department of Physics, University of California, Riverside, California 92521

T. K. Rebane
V. A. Fock Institute of Physics, St. Petersburg State University, ulitsa Ulyanovskaya 1, Petrodvorets, 198904, Russia

Received 10 March 2002; published 3 June 2002

The method for analytic evaluation of four-particle integrals, proposed by Fromm and Hill, is generalized to include complex exponential parameters. An original procedure of numerical branch tracking for multiple valued functions is developed. It allows high precision variational solution of the Coulomb four-body problem in a basis of exponential-trigonometric functions of interparticle separations. Numerical results demonstrate high efficiency and versatility of this method.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.65.062501
DOI:
10.1103/PhysRevA.65.062501
PACS:
31.15.Pf, 36.10.Dr